Quantitative Aptitude - Arithmetic Ability Questions

Product of digits of a 2-digit number is 24. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

If [4(2x/5 - 3/2)]/3 + 7/5 = 37/5, then what is the value of x?

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

A number is greater than twice its reciprocal by 31/4. Find the number.

What is the value of 2 consecutive natural numbers, sum of whose squares is 145?

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by aLogic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

If (a+1a)2=3,then the value of a6-1a6 will be

A piece of work can be done by 16 men in 8 days working 12 hours a day. How many men are needed to complete another work, which is three times the first one, in 24 days working 8 hours a day?